1.
Solve: 8x - 15 = 25
Correct Answer
C. X = 5
Explanation
To solve the equation 8x - 15 = 25, we need to isolate the variable x. First, we add 15 to both sides of the equation to get 8x = 40. Then, we divide both sides by 8 to find that x = 5.
2.
Solve: y/-3 + 2 = -13
Correct Answer
C. Y = 45
Explanation
To solve the equation, we need to isolate the variable y. First, we can multiply both sides of the equation by -3 to get rid of the fraction. This gives us y + (-6) = 39. Simplifying further, we have y - 6 = 39. To isolate y, we can add 6 to both sides of the equation, resulting in y = 45. Therefore, the correct answer is y = 45.
3.
Evaluate: 6w - 2a for w = 4, a = 2, h = 5
Correct Answer
A. 20
Explanation
To evaluate the expression 6w - 2a, we substitute the given values of w = 4 and a = 2 into the expression. Therefore, we have 6(4) - 2(2) = 24 - 4 = 20. Hence, the correct answer is 20.
4.
Solve: 6x - 30 = 0
Correct Answer
A. X = 5
Explanation
By solving the equation 6x - 30 = 0, we can isolate the variable x. Adding 30 to both sides of the equation gives us 6x = 30. Then, dividing both sides by 6, we get x = 5. Therefore, the correct answer is x = 5.
5.
Solve: y/-8 + 2 = -100
Correct Answer
D. Y = 816
Explanation
To solve the equation y/-8 + 2 = -100, we need to isolate the variable y. First, we subtract 2 from both sides of the equation to get y/-8 = -102. Then, we multiply both sides of the equation by -8 to eliminate the fraction and obtain y = 816. Therefore, the correct answer is y = 816.
6.
Solve: 8x + 100 = 180
Correct Answer
B. X = 10
Explanation
To solve the equation 8x + 100 = 180, we need to isolate the variable x. First, we subtract 100 from both sides of the equation, which gives us 8x = 80. Then, we divide both sides of the equation by 8 to solve for x. This yields x = 10. Therefore, the correct answer is x = 10.
7.
Solve: 6x + 30 = 60
Correct Answer
A. X = 5
Explanation
By subtracting 30 from both sides of the equation, we get 6x = 30. Then, by dividing both sides by 6, we find that x = 5.
8.
Solve: y - 16 < 12
Correct Answer
C. Y < 28
Explanation
The inequality y - 16 < 12 can be solved by adding 16 to both sides of the inequality. This gives us y < 28 as the solution.
9.
Solve: 3x - 20 = 1
Correct Answer
C. X = 7
Explanation
To solve the equation 3x - 20 = 1, we need to isolate the variable x. First, we add 20 to both sides of the equation to get 3x = 21. Then, we divide both sides by 3 to find that x = 7. Therefore, the correct answer is x = 7.
10.
Solve: y/7 - 4 < -2
Correct Answer
A. Y < 14
Explanation
To solve the given inequality, we can start by adding 4 to both sides of the equation: y/7 - 4 + 4 < -2 + 4. This simplifies to y/7 < 2. To isolate y, we can multiply both sides of the equation by 7, resulting in y < 14. Therefore, the correct answer is y < 14.